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Finding the Fourth Proportional to 288.60, 431.11 and 259.66

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Solution

The fourth proportional to 288.60, 431.11 and 259.66 is: 387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.60 : 431.11 = 259.66 : x
  2. Step 2: Convert to fraction form
    288.60/431.11 = 259.66/x
  3. Step 3: Cross multiply
    288.60x = 431.11 × 259.66
  4. Step 4: Simplify right side
    288.60x = 111,942.02
  5. Step 5: Solve for x
    x = 111,942.02/288.60
  6. Step 6: Final answer
    x = 387.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.